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Finding the Fourth Proportional to 1,751.66, 2,402.79 and 1,715.20

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Solution

The fourth proportional to 1,751.66, 2,402.79 and 1,715.20 is: 2,352.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.66 : 2,402.79 = 1,715.20 : x
  2. Step 2: Convert to fraction form
    1,751.66/2,402.79 = 1,715.20/x
  3. Step 3: Cross multiply
    1,751.66x = 2,402.79 × 1,715.20
  4. Step 4: Simplify right side
    1,751.66x = 4,121,265.41
  5. Step 5: Solve for x
    x = 4,121,265.41/1,751.66
  6. Step 6: Final answer
    x = 2,352.78

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.